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Engineering Mathematics I Notes – Matrices, Differential Calculus, Partial Derivatives and Multiple Integrals

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Engineering Mathematics I notes for first semester B.Tech students of all branches. Covers matrices including rank, consistency of linear equations, eigenvalues and eigenvectors and the Cayley-Hamilton theorem, successive differentiation and Leibnitz theorem, mean value theorems, Taylor and Maclaurin series, partial differentiation, Euler's theorem on homogeneous functions, Jacobians, maxima and minima with Lagrange multipliers, and double and triple integrals with change of order, all with short solved examples for semester exams.